Algebra Calculator

Instantly solve linear and quadratic equations to find real and complex roots.

ax + b = c
Solution:
x = 0

Past Calculations

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About Algebra Calculator

The Algebra Calculator is designed to remove the friction from solving core algebraic functions. Rather than doing manual factorizations or recalling the quadratic formula from memory, simply plug in your coefficients (a, b, and c) to receive an exact mathematical evaluation instantly.

This tool perfectly calculates linear expressions, as well as quadratic roots including both real numbers and complex (imaginary 'i') numbers natively in your browser.

Mathematical Formulas

The calculator uses standard algebraic theorems to derive the roots:

Linear Equation (ax + b = c):
x = (c − b) ÷ a

Quadratic Equation (ax² + bx + c = 0):
Discriminant (Δ) = b² − 4ac
x = (−b ± √Δ) ÷ 2a

Common Uses

  • Students: Cross-verifying math homework answers when factoring trinomials or solving linear charts.
  • Engineering: Plotting parabolic trajectories via quadratic roots.
  • Data Analysis: Standardizing linear data points by isolating variables rapidly.

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